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On invariants of stable equivalence of symmetric special biserial algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 5-28 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider symmetric special biserial algebras and show that some combinatorial data can be obtained from the stable category of such algebras. As a consequence, we get invariants of the stable equivalence of symmetric special biserial algebras. 
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M. A. Antipov. On invariants of stable equivalence of symmetric special biserial algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 5-28. http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a0/

[1] M. A. Antipov, “Gruppa Grotendika stabilnoi kategorii simmetricheskoi spetsialnoi biryadnoi algebry”, Zap. nauchn. semin. POMI, 321, 2005, 5–12 | MR | Zbl

[2] M. A. Antipov, A. I. Generalov, “Konechnaya porozhdennost algebr Ionedy simmetricheskikh spetsialnykh biryadnykh algebr”, Algebra i analiz, 17:3 (2005), 1–23 | MR

[3] M. Auslander, I. Reiten, “Representation theory of artin algebras, III”, Commun. Algebra, 3 (1975), 239–294 | DOI | MR | Zbl

[4] M. C. R. Butler, C. M. Ringel, “AR-sequences with few middle terms and applications to string algebras”, Commun. Algebra, 15:1–2 (1987), 145–179 | DOI | MR | Zbl

[5] K. Erdmann, Blocks of tame representation type and related algebras, Lecture Notes in Math., 1428, Springer-Verlag, Berlin et al., 1990 | MR | Zbl

[6] Th. Holm, “Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type”, J. Algebra, 211:1 (1999), 159–205 | DOI | MR | Zbl

[7] Z. Pogorzały, “On a construction of algebras stably equivalent to selfinjective special biserial algebras”, Ann. Sci. Math. Quebec, 17:1 (1993), 65–97 | MR | Zbl

[8] H. Krause, “Maps between tree and band modules”, J. Algebra, 137:1 (1991), 186–195 | DOI | MR